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May 7, 20260 citationsOpen Access

The Identity of Structural Resolution

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AJAustin Jacobs

Key Points

  • The research aims to define the identity of operators in the Modal–Dependence Calculus.
  • Analysis of structural resolution in the context of Modal–Dependence Calculus.
  • Assessment of operators to identify their evaluative structures and conditions.
  • Demonstrates that distinct operator classes simplify into a unified identity.
  • Establishes a minimal criterion for structural resolution based on admissibility and dependency path termination.

Abstract

This paper establishes the identity of previously defined operators within the Modal–Dependence Calculus (MDC). Structural resolution, information, and stability are shown to be identical to a single evaluation operator, τ. The analysis demonstrates that all evaluative structure reduces to a binary admissibility condition determined solely by the termination of dependency paths. As a result, distinct operator classes collapse into a unified identity, yielding a minimal criterion for structural resolution: a state is admissible if and only if its dependence structure terminates at the invariant anchor.

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Cite This Study

Austin Jacobs (2026) studied this question.

synapsesocial.com/papers/69fbe3ca164b5133a91a315bhttps://doi.org/10.5281/zenodo.20032996
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